Magma V2.19-8 Tue Aug 20 2013 16:15:58 on localhost [Seed = 2699115679] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0202 geometric_solution 4.01547839 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.684723544748 0.914488023881 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431130377039 0.154583999728 0 0 2 2 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149951362140 0.021477301979 1 4 1 4 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820261113089 0.296904617675 5 3 6 3 0132 0132 0132 1023 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.472598634094 0.876513136675 4 6 6 6 0132 1230 0213 2310 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513626283485 0.860466243568 5 5 5 4 3201 0213 3012 0132 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513626283485 0.860466243568 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 365826177*c_0110_2^22 - 214746377*c_0110_2^21 - 16185018122*c_0110_2^20 + 998218139*c_0110_2^19 + 178934527459*c_0110_2^18 + 116698139328*c_0110_2^17 - 831973771245*c_0110_2^16 - 679042396966*c_0110_2^15 + 2278480301903*c_0110_2^14 + 1499898887244*c_0110_2^13 - 4108038338097*c_0110_2^12 - 1369370944052*c_0110_2^11 + 4821824456778*c_0110_2^10 - 80862571689*c_0110_2^9 - 3375015229921*c_0110_2^8 + 1151680692274*c_0110_2^7 + 1113838849974*c_0110_2^6 - 822226752055*c_0110_2^5 + 10592060407*c_0110_2^4 + 169342579761*c_0110_2^3 - 72378673426*c_0110_2^2 + 12916699897*c_0110_2 - 886097742, c_0011_0 - 1, c_0011_3 + 15*c_0110_2^22 - 14*c_0110_2^21 - 661*c_0110_2^20 + 271*c_0110_2^19 + 7341*c_0110_2^18 + 2243*c_0110_2^17 - 35973*c_0110_2^16 - 16161*c_0110_2^15 + 104008*c_0110_2^14 + 29915*c_0110_2^13 - 192317*c_0110_2^12 + 487*c_0110_2^11 + 221799*c_0110_2^10 - 70233*c_0110_2^9 - 142689*c_0110_2^8 + 95235*c_0110_2^7 + 33133*c_0110_2^6 - 50830*c_0110_2^5 + 10850*c_0110_2^4 + 7722*c_0110_2^3 - 5384*c_0110_2^2 + 1365*c_0110_2 - 137, c_0011_6 - 121*c_0110_2^22 + 107*c_0110_2^21 + 5337*c_0110_2^20 - 1924*c_0110_2^19 - 59298*c_0110_2^18 - 21010*c_0110_2^17 + 289000*c_0110_2^16 + 144524*c_0110_2^15 - 831151*c_0110_2^14 - 281901*c_0110_2^13 + 1535296*c_0110_2^12 + 71220*c_0110_2^11 - 1781560*c_0110_2^10 + 478272*c_0110_2^9 + 1169904*c_0110_2^8 - 708364*c_0110_2^7 - 299422*c_0110_2^6 + 392717*c_0110_2^5 - 68472*c_0110_2^4 - 64464*c_0110_2^3 + 39798*c_0110_2^2 - 9162*c_0110_2 + 811, c_0101_0 + c_0110_2^22 - c_0110_2^21 - 44*c_0110_2^20 + 21*c_0110_2^19 + 488*c_0110_2^18 + 117*c_0110_2^17 - 2406*c_0110_2^16 - 917*c_0110_2^15 + 6995*c_0110_2^14 + 1528*c_0110_2^13 - 12923*c_0110_2^12 + 894*c_0110_2^11 + 14727*c_0110_2^10 - 5664*c_0110_2^9 - 9135*c_0110_2^8 + 6958*c_0110_2^7 + 1745*c_0110_2^6 - 3505*c_0110_2^5 + 957*c_0110_2^4 + 451*c_0110_2^3 - 389*c_0110_2^2 + 118*c_0110_2 - 16, c_0101_1 + 2605130*c_0110_2^22 - 1608691*c_0110_2^21 - 115243011*c_0110_2^20 + 10628612*c_0110_2^19 + 1275456567*c_0110_2^18 + 792683526*c_0110_2^17 - 5965703278*c_0110_2^16 - 4671777379*c_0110_2^15 + 16440024529*c_0110_2^14 + 10274231298*c_0110_2^13 - 29746283171*c_0110_2^12 - 9061144001*c_0110_2^11 + 34916807572*c_0110_2^10 - 1385379566*c_0110_2^9 - 24347507882*c_0110_2^8 + 8805684242*c_0110_2^7 + 7928819728*c_0110_2^6 - 6098122793*c_0110_2^5 + 154664973*c_0110_2^4 + 1235942129*c_0110_2^3 - 539905503*c_0110_2^2 + 97699892*c_0110_2 - 6782052, c_0101_4 + 3312540*c_0110_2^22 - 1940436*c_0110_2^21 - 146555520*c_0110_2^20 + 8857836*c_0110_2^19 + 1620188664*c_0110_2^18 + 1058673731*c_0110_2^17 - 7531453653*c_0110_2^16 - 6157241400*c_0110_2^15 + 20620799827*c_0110_2^14 + 13603010697*c_0110_2^13 - 37173395032*c_0110_2^12 - 12436377014*c_0110_2^11 + 43632463776*c_0110_2^10 - 688996664*c_0110_2^9 - 30545469996*c_0110_2^8 + 10396260729*c_0110_2^7 + 10086685856*c_0110_2^6 - 7432400945*c_0110_2^5 + 91483568*c_0110_2^4 + 1531852784*c_0110_2^3 - 654061528*c_0110_2^2 + 116644408*c_0110_2 - 7997092, c_0110_2^23 - c_0110_2^22 - 44*c_0110_2^21 + 21*c_0110_2^20 + 488*c_0110_2^19 + 117*c_0110_2^18 - 2406*c_0110_2^17 - 917*c_0110_2^16 + 6995*c_0110_2^15 + 1528*c_0110_2^14 - 12923*c_0110_2^13 + 894*c_0110_2^12 + 14727*c_0110_2^11 - 5664*c_0110_2^10 - 9135*c_0110_2^9 + 6958*c_0110_2^8 + 1745*c_0110_2^7 - 3505*c_0110_2^6 + 957*c_0110_2^5 + 451*c_0110_2^4 - 389*c_0110_2^3 + 117*c_0110_2^2 - 17*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB